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Finding the Fourth Proportional to 512,197.40, 706,813.89 and 282,749.76

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Solution

The fourth proportional to 512,197.40, 706,813.89 and 282,749.76 is: 390,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,197.40 : 706,813.89 = 282,749.76 : x
  2. Step 2: Convert to fraction form
    512,197.40/706,813.89 = 282,749.76/x
  3. Step 3: Cross multiply
    512,197.40x = 706,813.89 × 282,749.76
  4. Step 4: Simplify right side
    512,197.40x = 199,851,457,762.17
  5. Step 5: Solve for x
    x = 199,851,457,762.17/512,197.40
  6. Step 6: Final answer
    x = 390,184.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.